1 / 43

Mixing Coffee Blends: A Weighted Averages Problem

Ms. Anthony seeks to create a unique coffee blend using two different coffee types—one priced at $8.40 per pound and another at $7.28 per pound. To achieve her goal of selling the mixture for $7.95 per pound, she needs to determine how many pounds of the $7.28 coffee she should mix with 9 pounds of the $8.40 coffee. This example illustrates the application of weighted averages in a practical scenario, showing how to balance costs to create an appealing product price.

trish
Télécharger la présentation

Mixing Coffee Blends: A Weighted Averages Problem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.9 – Weighted Averages

  2. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

  3. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

  4. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.?

  5. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? $8.40/lb

  6. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? $8.40/lb

  7. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? $8.40/lb + $7.28/lb

  8. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40 + 7.28

  9. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40 + 7.28

  10. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40 + 7.28x

  11. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40 + 7.28x

  12. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9) + 7.28x

  13. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x

  14. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x

  15. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x =

  16. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x =

  17. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x =

  18. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x =

  19. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9) + 7.28x = (9 + x)

  20. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = (9 + x)

  21. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = (9 + x)7.95

  22. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x)

  23. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6

  24. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x

  25. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x =

  26. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55

  27. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55

  28. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x

  29. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6

  30. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x

  31. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x =

  32. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05

  33. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x

  34. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x

  35. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x

  36. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x =

  37. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05

  38. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67

  39. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x

  40. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x =

  41. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x = 6.04

  42. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x = 6.04 lbs.

  43. Example 1 Ms. Anthony wants to create a special blend using two coffees, one priced at $8.40/lb. and the other at $7.28/lb. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95/lb.? 8.40(9)+ 7.28x = 7.95(9 + x) 75.6 + 7.28x = 71.55 + 7.95x -75.6 -75.6 7.28x = -4.05 + 7.95x -7.95x -7.95x -0.67x = -4.05 -0.67 -0.67 x = 6.04 lbs.

More Related